Experimental benchmarks with \(X\) -mixers are numerous, especially on superconducting processors, although mostly limited to problems whose topology exactly matches the quantum processor hardware (see [1]} for a review). Ref. [1]} also explores optimization of the fully connected Sherrington-Kirkpatrick model,which requires significant compilation overhead. Unsurprisingly, the compilation requirements resulted in significant performance degradation with circuit depth, due to the relentless unmitigated action of noise during circuit execution in NISQ hardware.
